Write
200
179
as a decimal number.
The Correct Answer and Explanation is :
To write the fraction ( \frac{200}{179} ) as a decimal number, we need to perform the division of the numerator (200) by the denominator (179).
Division Process
- Set Up the Division: We start by dividing 200 by 179.
- Calculate the Whole Number Part:
- 179 goes into 200 one time, so we write down 1.
- Next, we multiply 1 by 179, which gives us 179.
- We then subtract 179 from 200, resulting in a remainder of 21.
- Add Decimal Places:
- We can add a decimal point and a zero to the remainder to continue the division, making it 210.
- Divide Again:
- Now we see how many times 179 goes into 210. It goes in once (1).
- Multiply 1 by 179 again, resulting in 179, and subtract that from 210, leaving a remainder of 31.
- Continue the Process:
- Bring down another zero to make it 310.
- 179 goes into 310 once (1), and we subtract again, leaving a remainder of 131.
- Repeat this process, bringing down zeros, until you reach a desired number of decimal places or see a repeating pattern.
Result
By continuing the division, we find:
[
\frac{200}{179} \approx 1.1189…
]
This decimal can be rounded to a certain number of places depending on the required precision.
Summary
The fraction ( \frac{200}{179} ) converted to decimal form results in approximately ( 1.1189 ). This conversion is useful in various applications, such as financial calculations or when comparing ratios. Understanding how to convert fractions to decimals enhances numerical literacy and allows for easier manipulation of numbers in practical scenarios. The process involves division, and the result can often be expressed as a repeating or terminating decimal depending on the nature of the fraction. In this case, ( 200 \div 179 ) gives us a decimal that starts with ( 1.1 ) and continues on.